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Finding the Fourth Proportional to 251.02, 345.90 and 233.20

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Solution

The fourth proportional to 251.02, 345.90 and 233.20 is: 321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.02 : 345.90 = 233.20 : x
  2. Step 2: Convert to fraction form
    251.02/345.90 = 233.20/x
  3. Step 3: Cross multiply
    251.02x = 345.90 × 233.20
  4. Step 4: Simplify right side
    251.02x = 80,663.88
  5. Step 5: Solve for x
    x = 80,663.88/251.02
  6. Step 6: Final answer
    x = 321.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.